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Finding the Fourth Proportional to 5,454, 8,161.56 and 3,372.32

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Solution

The fourth proportional to 5,454, 8,161.56 and 3,372.32 is: 5,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454 : 8,161.56 = 3,372.32 : x
  2. Step 2: Convert to fraction form
    5,454/8,161.56 = 3,372.32/x
  3. Step 3: Cross multiply
    5,454x = 8,161.56 × 3,372.32
  4. Step 4: Simplify right side
    5,454x = 27,523,392.02
  5. Step 5: Solve for x
    x = 27,523,392.02/5,454
  6. Step 6: Final answer
    x = 5,046.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.